We are looking for a cloud based database tool

I work along side a non-profit helping with rebuilding after hurricane Harvey last year. They expect to be here for then next several years helping low-income blue collar families rebuild. We are looking for a database tool, cloud based, to track work requests and volunteer assignments. They are currently using a spread sheet. Any recommendations.

Have you considered looking into document management software? For example our software ships with SQL Express and our solution includes a reporting and workflow engine to generate your spreadsheets automatically. Would be happy to chat with you to understand if its a good fit.

Not sure database is the right word to describe what you're looking for... you are looking more for a ticket/task assignment tracking system. A database is really just a place to store data.

A lightweight solution that I'd see working and implementing really quickly is jira - a user can create a ticket for a work request, then assign it and have it do things based on a predefined workflow (ie, when a ticket is closed do X Y and Z). It also integrates with alot of other SAAS products.

You can request a free license for charities here - https://www.atlassian.com/software/views/community-license-request